Answer:
[tex]x=-3,13[/tex]
Step-by-step explanation:
Given: [tex]x^2-10x=39[/tex]
To find: solutions of the given equation
Solution:
[tex]x^2-10x=39\\x^2-10x-39=0[/tex]
Write [tex]-10=-13+3[/tex]
Therefore,
[tex]x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13[/tex]
So, solutions of the given equation are [tex]-3[/tex] and [tex]13[/tex].